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200201020000 = 255421147441
BaseRepresentation
bin1011101001110011101…
…0010010001001100000
3201010202100112120002121
42322130322102021200
511240002430120000
6231545430354024
720315111410102
oct2723472221140
9633670476077
10200201020000
11779a5290533
1232972abb914
1315b56b72817
149992a8b572
15531ae30b1a
hex2e9ce92260

200201020000 has 120 divisors (see below), whose sum is σ = 494869209912. Its totient is φ = 79699200000.

The previous prime is 200201019983. The next prime is 200201020031. The reversal of 200201020000 is 20102002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4196280 + ... + 4243720.

Almost surely, 2200201020000 is an apocalyptic number.

200201020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247434604956).

200201020000 is an abundant number, since it is smaller than the sum of its proper divisors (294668189912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200201020000 is an equidigital number, since it uses as much as digits as its factorization.

200201020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47682 (or 47659 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 200201020000 its reverse (20102002), we get a palindrome (200221122002).

The spelling of 200201020000 in words is "two hundred billion, two hundred one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 211 250 400 422 500 625 800 844 1000 1055 1250 1688 2000 2110 2500 3376 4000 4220 5000 5275 6752 8440 10000 10550 16880 20000 21100 26375 33760 42200 47441 52750 84400 94882 105500 131875 168800 189764 211000 237205 263750 379528 422000 474410 527500 759056 844000 948820 1055000 1186025 1518112 1897640 2110000 2372050 3795280 4220000 4744100 5930125 7590560 9488200 10010051 11860250 18976400 20020102 23720500 29650625 37952800 40040204 47441000 50050255 59301250 80080408 94882000 100100510 118602500 160160816 189764000 200201020 237205000 250251275 320321632 400402040 474410000 500502550 800804080 948820000 1001005100 1251256375 1601608160 2002010200 2502512750 4004020400 5005025500 6256281875 8008040800 10010051000 12512563750 20020102000 25025127500 40040204000 50050255000 100100510000 200201020000